Give an example of a function that is integrable on the interval [-1,1], but not continuous on [-1,1]. explain.

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asked May 27, 2018 218k views

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Vdogsandman · Answer 1 · 2018-06-02T23:26:12+0000

With an absolute value somewhere in the formula, you can create a discontinuous function.

how about f(x) = |x|/x

It jumps from -1 to +1 at x=0, yet it can be integrated on [-1,1]. The surface is 2.

Give an example of a function that is integrable on the interval [-1,1], but not continuous-example-1

Give an example of a function that is integrable on the interval [-1,1], but not continuous on [-1,1]. explain.

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